Question: Problem 2: Consider the system of differential equations X, = x1 - 15x2, X2 = 2x1 - 5x2 with initial conditions x(0) = 2, x2(0)

 Problem 2: Consider the system of differential equations X, = x1

Problem 2: Consider the system of differential equations X, = x1 - 15x2, X2 = 2x1 - 5x2 with initial conditions x(0) = 2, x2(0) = 5. Use the MATLAB ode45() function to solve this system of differential equations and then plot the solution on a single plot for time * = 0 to 1 = 5. Plot x1(1) as a solid line, x2(1) as a dotted line, and turn on the plotting grid and legend. Make sure to label your axes. Explain what happens to the solutions as 1 - co. $ [ Insert your MATLAB code and plot here. ] [Insert your math/explanation here.]

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